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Finding the Fourth Proportional to 3,842.38, 5,302.58 and 2,163.85

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Solution

The fourth proportional to 3,842.38, 5,302.58 and 2,163.85 is: 2,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.38 : 5,302.58 = 2,163.85 : x
  2. Step 2: Convert to fraction form
    3,842.38/5,302.58 = 2,163.85/x
  3. Step 3: Cross multiply
    3,842.38x = 5,302.58 × 2,163.85
  4. Step 4: Simplify right side
    3,842.38x = 11,473,975.83
  5. Step 5: Solve for x
    x = 11,473,975.83/3,842.38
  6. Step 6: Final answer
    x = 2,986.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.